I have a 2009 Sahara 4dr, and I'm curious whether there's difference in flex when adding a 2" BB to a stock Sahara vs a stock Rubicon. Will a Rubicon flex more with a 2" BB?

I'm leaning hard to adding a 2" BB (probably Teraflex). I don't do hard core offroading. I've got 33" Nittos and I'll be getting wheels and mounting them next month. But I'm curious if maybe the stock Sahara shocks will keep me from getting the maximum flex from a budget boost.